The D3-probe-D7 brane holographic fractional topological insulator

TL;DR

This paper presents a holographic model of a fractional topological insulator using the D3-probe-D7 brane system, revealing a phase diagram with quantum Hall states and metallic phases, advancing understanding of strongly correlated topological phases.

Contribution

It introduces a new holographic model for fractional topological insulators based on D3-D7 branes, detailing their phase diagram and quantum Hall states.

Findings

Identifies quantum Hall states with half-integer Hall conductivity.

Maps out phase diagram with charge density and magnetic field.

Discovers metallic and semi-metallic phases with unique behaviors.

Abstract

The D3-probe-D7 brane system, oriented so as to have 2+1-dimensional Poincare symmetry, is argued to be the holographic representation of a strongly correlated fractional topological insulator which exhibits a zero-field quantized Hall effect with half-units of Hall conductivity. The phase diagram of the system with charge density and external magnetic field is found and, as well as charge gapped quantum Hall states, it exhibits metallic and semi-metallic phases with interesting behaviours. The relationship of this to other models of fractional topological insulators is discussed.